12133330314 has 48 divisors (see below), whose sum is σ = 28338579648. Its totient is φ = 3453155328.

The previous prime is 12133330301. The next prime is 12133330337. The reversal of 12133330314 is 41303333121.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4734 + ... + 155849.

It is an arithmetic number, because the mean of its divisors is an integer number (590387076).

Almost surely, 2^12133330314 is an apocalyptic number.

12133330314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133330314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169289824).

12133330314 is an abundant number, since it is smaller than the sum of its proper divisors (16205249334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12133330314 is a wasteful number, since it uses less digits than its factorization.

12133330314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160859 (or 160852 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 12133330314 its reverse (41303333121), we get a palindrome (53436663435).

The spelling of 12133330314 in words is "twelve billion, one hundred thirty-three million, three hundred thirty thousand, three hundred fourteen".